Sobolev spaces on multiple cones | Zendy

Pascal Auscher | Zendy; Nadine Badr | Zendy

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Sobolev spaces on multiple cones

Author(s) -

Pascal Auscher,

Nadine Badr

Publication year - 2011

Publication title -

annales de la faculté des sciences de toulouse mathématiques

Language(s) - English

Resource type - Journals

eISSN - 2258-7519

pISSN - 0240-2963

DOI - 10.5802/afst.1264

Subject(s) - mathematics , sobolev space , extension (predicate logic) , sobolev inequality , interpolation (computer graphics) , interpolation space , pure mathematics , type (biology) , functional analysis , image (mathematics) , computer science , geology , artificial intelligence , paleontology , biochemistry , chemistry , gene , programming language

The purpose of this note is to discuss how various Sobolev spaces defined on multiple cones behave with respect to density of smooth functions, interpolation and extension/restriction to/from $\RR^n$. The analysis interestingly combines use of Poincar\'e inequalities and of some Hardy type inequalities.

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